Eventually, sure. I have no doubt that we will find a way to colonize the solar system after a new and efficient power source is discovered, and some semblance of peace comes over the planet.
I also firmly believe that the speed of light is not a barrier, and that we will develop FTL drives, so we will (eventually) colonize other solar systems.
However, these "eventuallies" are far, far away in the future, though we might have a manned station on the Moon or possibly even Mars by the end of the century. Don't hold your breath on it, though.